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(Solved): 19. Identify the asymptotic behavior in the graph of y=x2+1x21, and explain why it occurs. U ...

$19. Identify the asymptotic behavior in the graph of \( y=\frac{x^{2}-1}{x^{2}+1} \), and explain why it occurs. Use limit no$

19. Identify the asymptotic behavior in the graph of

y = \frac{x ^{2} - 1}{x ^{2} + 1}

, and explain why it occurs. Use limit notation to describe what you see.

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VERTICAL ASYMPTOTES
The line x=L is a vertical asymptote of the function , if the limit of the function (one-sided) at this point is infinite.
In other words, it means that possible points are points where the denominator equals 0 or doesn't exist.
So, find the points where the denominator equals 0 and check them.
As can be seen, there are no such points, so this function doesn't have vertical asymptotes.

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